Determine the diagram that best resembles the earve represented by the given parameterisation. * 21 +1.y- (tER) (A) (B) (C) (D) Which of the following lines in R3 is perpendicular to the line given by (2, –3, 1) + 1(-4,1,3) ? (A) (1,2,3) + t(-1,0,-1) for t eR (B) (1,2,3) + t(1, 1,–1) for t e R (C) (1,-2,0) + t(1, 1, 1) for t e R (D) (1, –2,0) + t(1,–1,1) for t e R Suppose A(3,-2,8) and B(-3,-8,2) are two points in space. What is the equation of the sphere that has diameter AB? (A) x2 + (y + 5)2 = 108 – (z - 5)2 (B) x2 + (y – 5)2 + (z + 5)² = 108 (C) x2 + (y + 5)² = 27 - (z- 5)2 (D) x2 + (y - 5)2 + (z + 5)2 = 27
Determine the diagram that best resembles the earve represented by the given parameterisation. * 21 +1.y- (tER) (A) (B) (C) (D) Which of the following lines in R3 is perpendicular to the line given by (2, –3, 1) + 1(-4,1,3) ? (A) (1,2,3) + t(-1,0,-1) for t eR (B) (1,2,3) + t(1, 1,–1) for t e R (C) (1,-2,0) + t(1, 1, 1) for t e R (D) (1, –2,0) + t(1,–1,1) for t e R Suppose A(3,-2,8) and B(-3,-8,2) are two points in space. What is the equation of the sphere that has diameter AB? (A) x2 + (y + 5)2 = 108 – (z - 5)2 (B) x2 + (y – 5)2 + (z + 5)² = 108 (C) x2 + (y + 5)² = 27 - (z- 5)2 (D) x2 + (y - 5)2 + (z + 5)2 = 27
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine the diagram that best resembles theedrve represented by the given parameterisation.
*= 21 +1.y- t
(tER)
(A)
(B)
(C)
(D)
Which of the following lines in R3 is perpendicular to the line given by (2,-3, 1) + A(-4,1,3) ?
(A)
(1,2,3) + t(-1,0,-1) for t eR
(B)
(1,2,3) + t(1, 1,–1) for t e R
(C)
(1,-2,0) + t(1, 1,1) for te R
(D)
(1,-2,0) + t(1, –1,1) for t e R
Suppose A(3,-2,8) and B(-3,-8,2) are two points in space. What is the equation of the sphere
that has diameter AB?
(A)
x² + (y + 5)² = 108 - (z- 5)2
(B)
x2 + (y - 5)2 + (z + 5)² = 108
(C)
x2 + (y + 5)2 = 27 – (z - 5)2
(D)
x2 + (y- 5)2 + (z + 5)2 = 27
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